cp's OEIS Frontend

A002913 High temperature series for spin-1/2 Ising magnetic susceptibility on 3-dimensional simple cubic lattice.

%I A002913 M4201 N1753 #87 Aug 30 2025 19:36:47
%S A002913 1,6,30,150,726,3510,16710,79494,375174,1769686,8306862,38975286,
%T A002913 182265822,852063558,3973784886,18527532310,86228667894,401225368086,
%U A002913 1864308847838,8660961643254,40190947325670,186475398518726,864404776466406,4006394107568934,18554916271112254,85923704942057238
%N A002913 High temperature series for spin-1/2 Ising magnetic susceptibility on 3-dimensional simple cubic lattice.
%D A002913 C. Domb, Ising model, in Phase Transitions and Critical Phenomena, vol. 3, ed. C. Domb and M. S. Green, Academic Press, 1974; p. 381.
%D A002913 S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 391-406.
%D A002913 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A002913 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A002913 Andrey Zabolotskiy, <a href="/A002913/b002913.txt">Table of n, a(n) for n = 0..32</a> (terms a(24), a(25) taken from the Campostrini et al. 2002 article by _Per H. Lundow_, terms a(26)-a(32) taken from the Toshiaki Fujiwara and Hiroaki Arisue's slides)
%H A002913 P. Butera and M. Comi, <a href="https://doi.org/10.1103/PhysRevB.56.8212">N-vector spin models on the simple-cubic and the body-centered-cubic lattices: A study of the critical behavior of the susceptibility and of the correlation length by high-temperature series extended to order beta^21</a>, Phys. Rev. B 56 (1997) 8212-8240; arXiv:<a href="https://arxiv.org/abs/hep-lat/9703018">hep-lat/9703018</a>, 1997.
%H A002913 P. Butera and M. Comi, <a href="https://arxiv.org/abs/hep-lat/0006009">Extension to order b23 of the high-temperature expansions for the spin-1/2 Ising model on the simple-cubic and the body-centered-cubic lattices</a>, BICOCCA/FT-00-09 (June 2000). Phys. Rev. B62 (2000) 14837-14843.
%H A002913 M. Campostrini, <a href="https://arxiv.org/abs/cond-mat/0005130">Linked-Cluster Expansion of the Ising Model</a>, Journal of Statistical Physics, 103 (2001), 369-394.
%H A002913 M. Campostrini, A. Pelissetto, P. Rossi, and E. Vicari, <a href="https://doi.org/10.1103/PhysRevE.65.066127">25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple-cubic lattice</a>, Phys. Rev. E, 65 (2002), 66-127.
%H A002913 C. Domb, <a href="/A007239/a007239.pdf">Ising model</a>, Phase Transitions and Critical Phenomena 3 (1974), 257, 380-381, 384-387, 390-391, 412-423. (Annotated scanned copy)
%H A002913 Steven R. Finch, <a href="http://www.people.fas.harvard.edu/~sfinch/constant/ising/ising.html">Lenz-Ising Constants</a> [broken link]
%H A002913 Steven R. Finch, <a href="http://web.archive.org/web/20010207201511/http://www.mathsoft.com:80/asolve/constant/ising/ising.html">Lenz-Ising Constants</a> [From the Wayback Machine]
%H A002913 M. E. Fisher and R. J. Burford, <a href="https://doi.org/10.1103/PhysRev.156.583">Theory of critical point scattering and correlations I: the Ising model</a>, Phys. Rev. 156 (1967), 583-621.
%H A002913 Toshiaki Fujiwara and Hiroaki Arisue (presenter), <a href="https://www2.ccs.tsukuba.ac.jp/workshop/H14nendo/proceedings/arisue.pdf">３次元イジング模型の高温展開 (High-temperature expansion for the 3D Ising model)</a>, Computational Physics with CP-PACS 2002 Workshop [in Japanese].
%H A002913 Toshiaki Fujiwara and Hiroaki Arisue (presenter), New algorithm of the high-temperature expansion for the Ising model in three dimensions, Asia-Pacific Mini-Workshop on Lattice QCD, Center for Computational Physics, University of Tsukuba, 2003: <a href="https://www2.ccs.tsukuba.ac.jp/kenkyukai/asia-pacific/program/abstract/abstract-arisue.html">abstract</a>, <a href="https://www2.ccs.tsukuba.ac.jp/kenkyukai/asia-pacific/program/transparency/arisue/asia-pacific2003b@.ps">slides</a>, <a href="https://www2.ccs.tsukuba.ac.jp/kenkyukai/asia-pacific/program/transparency/arisue/asia-pacific2003b@.tex">source</a>.
%H A002913 D. S. Gaunt, <a href="https://doi.org/10.1007/978-1-4613-3347-0_9">High Temperature Series Analysis for the Three-Dimensional Ising Model: A Review of Some Recent Work</a>, pp. 217-246 in: Phase Transitions: Cargèse 1980, eds. Maurice Lévy, Jean-Claude Le Guillou and Jean Zinn-Justin, Springer, Boston, MA, 1982.
%H A002913 M. F. Sykes, D. G. Gaunt, P. D. Roberts and J. A. Wyles, <a href="https://doi.org/10.1088/0305-4470/5/5/005">High temperature series for the susceptibility of the Ising model, II. Three dimensional lattices</a>, J. Phys. A 5 (1972) 640-652.
%Y A002913 Cf. other quantities: A001393 (partition function), A010571 (internal energy), A002916 (specific heat), A003490 (surface susceptibility), A007287 (layer susceptibility), A010040, A010043, A010046.
%Y A002913 Cf. other structures: A002906 (square), A002920 (hexagonal), A002910 (honeycomb), A002914 (b.c.c.), A002921 (f.c.c.), A003119 (diamond), A010556 (4D cubic), A010579 (5D cubic), A010580 (6D cubic), A030008 (7D cubic).
%Y A002913 Cf. low-temperature series: A002926 (ferromagnetic), A002915 (antiferromagnetic).
%Y A002913 Cf. other models: A002170 (Heisenberg), A003279 (spherical).
%K A002913 nonn,nice,changed
%O A002913 0,2
%A A002913 _N. J. A. Sloane_
%E A002913 Corrections and updates from _Steven Finch_
%E A002913 More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Mar 01 2008
%E A002913 Several errors in the sequence were corrected by _Per H. Lundow_, Jan 17 2011